The Tamirel Trading Company worships a select group of both the Aedra and Deadra and even sithis.

The Aedra and Deadra the Tamriel trading company worship :

Zenithar - God of Work and Commerce and trade

Julianos - God of Wisdom and Logic

Hircine - The Daedric Prince of The Hunt, Father of Man-beasts.

Molag Bal - The Daedric Prince of Domination, the Corrupter, Creator of Corprus,
Corrupted Creator, Corner of the House of Trouble, Lord of Domination, and
Enslaver of Mortals.

The Aedra and Deadra the Tamriel trading company especially do not worship :

Talos/Tiber Septim - God of War and Governance
Because Talos was not originally one of the Divines, in some religious sects
they are referred to as "The Eight And One". As of 4E 200, Talos was effectively
removed from the pantheon of the Gods-and The Eight Divines worshiped resumed.
Thalmor agents from the Aldmeri Dominion, per the White-Gold Concordat, ensure
that the worship of Talos remains an illegal activity. This is one of the causes
of the Stormcloak Rebellion, who see the banning of the worship of Talos as an
act against religious freedom.

Namira - The Daedric Prince of Ancient Darkness, the Spirit Daedra, the Eater of
Children